How would you find the inverse of y=4x+-5? What about y+3x-2
To find the inverse of a linear function, you need to swap the x and y variables and solve for the new y. Let's go through the process step by step.
1. Start with the given equation: y = 4x - 5.
2. Swap the x and y variables: x = 4y - 5.
3. Solve the equation for y. To do this, isolate the variable y on one side of the equation:
x + 5 = 4y
Divide both sides of the equation by 4:
(x + 5)/4 = y
So, the inverse of y = 4x - 5 is y = (x + 5)/4.
Now, let's find the inverse of a slightly more complex equation: y + 3x - 2.
1. Start with the given equation: y + 3x - 2.
2. Swap the x and y variables: x + 3y - 2.
3. Solve the equation for y. To do this, isolate the variable y on one side of the equation:
3y = -x + 2
Divide both sides of the equation by 3:
y = (-x + 2)/3.
So, the inverse of y + 3x - 2 is y = (-x + 2)/3.